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Mathematics 24 Online
OpenStudy (anonymous):

Simplify.

OpenStudy (anonymous):

\[\frac{ \sqrt[3]{7} }{\sqrt[5]{7}}\]

OpenStudy (anonymous):

OpenStudy (solomonzelman):

\(\Large\color{black}{ \sqrt[\color{blue}{{\huge c}}]{a^{~\color{red}{{\huge b}}}} ~~~~\Rightarrow~~~~ a^{(\color{red}{{\huge b}}/\color{blue}{{\huge c}})}}\)

OpenStudy (anonymous):

and b is an understood 1 right?

OpenStudy (solomonzelman):

no

OpenStudy (solomonzelman):

please do apply the aforementioned rule for me on top and bottom. and tell me what you get after doing this.

OpenStudy (anonymous):

\[\frac{ 7\frac{ 1 }{ 3 } }{ 7 \frac{ 1 }{ 5 } }\] ?

OpenStudy (solomonzelman):

yes.

OpenStudy (solomonzelman):

now apply the: \(\large\color{black}{ \frac{\LARGE a^{\color{red}{b}}}{\LARGE a^{\color{blue}{c}}}=a^{\LARGE \color{red}{b}-\color{blue}{c}} }\)

OpenStudy (anonymous):

\[7^{3-5}\]

OpenStudy (solomonzelman):

not exactly, your power on the top is 1/3, and the power on the bottom is 1/5.

OpenStudy (solomonzelman):

you can draw it if you want to, I mean if latex is an onus

OpenStudy (anonymous):

I dont know where I went wrong

OpenStudy (anonymous):

would I be subtracting the fractions?

OpenStudy (solomonzelman):

yes, \(\large\color{black}{ 7^{^\color{blue}{{\frac{\LARGE 1 }{\LARGE 3}-\color{red}{{\frac{\LARGE 1 }{\LARGE 5}}}}}} }\)

OpenStudy (anonymous):

\[\frac{ 2 }{ 15 }\]

OpenStudy (solomonzelman):

yes 7^(2/15)

OpenStudy (anonymous):

oh ok thanks!

OpenStudy (solomonzelman):

yw

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